Question

The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains.† One of the variables in the study is meal price, the average amount paid per person for dinner and drinks, minus the tip. Suppose a reporter for a local newspaper thought that it would be of interest to her readers to conduct a similar study for restaurants located in her city. The reporter selected a sample of 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. The following data show the meal prices ($) obtained for the 24 restaurants sampled.

Italian	Seafood	Steakhouse
$11	$15	$23
12	17	19
15	18	22
18	26	24
18	22	22
21	14	21
18	19	28
23	21	33

Use α = 0.05 to test whether there is a significant difference among the mean meal price for the three types of restaurants.

State the null and alternative hypotheses.

H₀: At least two of the population means are equal.
H_a: At least two of the population means are different.H₀: μ_Italian ≠ μ_Seafood ≠ μ_Steakhouse
H_a: μ_Italian = μ_Seafood = μ_Steakhouse    H₀: μ_Italian = μ_Seafood = μ_Steakhouse
H_a: μ_Italian ≠ μ_Seafood ≠ μ_SteakhouseH₀: μ_Italian = μ_Seafood = μ_Steakhouse
H_a: Not all the population means are equal.H₀: Not all the population means are equal.
H_a: μ_Italian = μ_Seafood = μ_Steakhouse

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

What is your conclusion?

Reject H₀. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.Reject H₀. There is not sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.    Do not reject H₀. There is not sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.Do not reject H₀. There is sufficient evidence to conclude that the mean meal prices are not all the same for the three types of restaurants.

Answer 1